Research notes on every problem, and a library of the papers behind them. Built from the open erdos repository.

Updated Oct 8

Problem 66

Statement. Is there $A\subseteq \mathbb{N}$ such that

\lim_{n\to \infty}\frac{1_A\ast 1_A(n)}{\log n}

exists and is $\neq 0$ ?

Status. Open.

Source. erdosproblems.com/66, accessed 2026-09-04. Cite as: T. F. Bloom, Erdős Problem #66, https://www.erdosproblems.com/66.

References.

[Er80] Erdős, Paul, A survey of problems in combinatorial number theory. Ann. Discrete Math. (1980), 89-115.
[Ho07] G. Horváth, An improvement of a theorem of Erdős and Sárközy. Pollack Periodica (2007), 155-161.

Formalization. Statement in formal-conjectures.

Progress

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